Search Results for author: Dimiter Vassilev

Found 1 papers, 0 papers with code

The Obata first eigenvalue theorems on a seven dimensional quaternionic contact manifold

no code implementations31 Dec 2020 Abdelrahman Mohamed, Dimiter Vassilev

We show that a compact quaternionic contact manifold of dimension seven that satisfies a Lichnerowicz-type lower Ricci-type bound and has the $P$-function of any eigenfunction of the sub-Laplacian non-negative achieves its smallest possible eigenvalue only if the structure is qc-Einstein.

Differential Geometry Analysis of PDEs

Cannot find the paper you are looking for? You can Submit a new open access paper.